%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM837+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:02:31 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   27 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  10   ~;   7   |;   3   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (  19   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f119,plain,
    $false,
    inference(unit_resulting_resolution,[],[f104,f82,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | vplus(X0,sK2(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( vplus(X0,sK2(X0,X1)) = X1
        | ~ less(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f58,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X0,X3) = X1
     => vplus(X0,sK2(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X3] : vplus(X0,X3) = X1
        | ~ less(X0,X1) ) ),
    inference(rectify,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X2] : vplus(X0,X2) = X1
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ? [X2] : vplus(X0,X2) = X1 ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X16,X15] :
      ( less(X16,X15)
    <=> ? [X17] : vplus(X16,X17) = X15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

fof(f82,plain,
    ! [X0] : vd269 != vplus(vd268,X0),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] : vd269 != vplus(vd268,X0),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] : vd269 = vplus(vd268,X0),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] : vd269 = vplus(vd268,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(171)') ).

fof(f104,plain,
    less(vd268,vd269),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    less(vd268,vd269),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(170), 270, 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM837+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 09:02:19 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.54  % (26422)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.55  % (26439)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.55  % (26422)First to succeed.
% 0.21/0.55  % (26431)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55  % (26422)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Theorem for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (26422)------------------------------
% 0.21/0.55  % (26422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (26422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (26422)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (26422)Memory used [KB]: 6012
% 0.21/0.55  % (26422)Time elapsed: 0.112 s
% 0.21/0.55  % (26422)Instructions burned: 3 (million)
% 0.21/0.55  % (26422)------------------------------
% 0.21/0.55  % (26422)------------------------------
% 0.21/0.55  % (26414)Success in time 0.191 s
%------------------------------------------------------------------------------